14324134400 has 120 divisors (see below), whose sum is σ = 35563846164. Its totient is φ = 5717606400.

The previous prime is 14324134369. The next prime is 14324134441. The reversal of 14324134400 is 443142341.

It can be written as a sum of positive squares in 6 ways, for example, as 6520885504 + 7803248896 = 80752^2 + 88336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14324134400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8459954 + ... + 8461646.

Almost surely, 2^14324134400 is an apocalyptic number.

14324134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14324134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781923082).

14324134400 is an abundant number, since it is smaller than the sum of its proper divisors (21239711764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14324134400 is an equidigital number, since it uses as much as digits as its factorization.

14324134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14324134400 its reverse (443142341), we get a palindrome (14767276741).

The spelling of 14324134400 in words is "fourteen billion, three hundred twenty-four million, one hundred thirty-four thousand, four hundred".